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<div class="subTitle">org.apache.commons.math3.geometry.euclidean.threed</div>
<h2 title="Class Line" class="title">Class Line</h2>
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<li>org.apache.commons.math3.geometry.euclidean.threed.Line</li>
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<dt>All Implemented Interfaces:</dt>
<dd><a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html" title="interface in org.apache.commons.math3.geometry.partitioning">Embedding</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>,<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</dd>
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<pre>public class <span class="strong">Line</span>
extends <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a>
implements <a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html" title="interface in org.apache.commons.math3.geometry.partitioning">Embedding</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>,<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</pre>
<div class="block">The class represent lines in a three dimensional space.

 <p>Each oriented line is intrinsically associated with an abscissa
 which is a coordinate on the line. The point at abscissa 0 is the
 orthogonal projection of the origin on the line, another equivalent
 way to express this is to say that it is the point of the line
 which is closest to the origin. Abscissa increases in the line
 direction.</p></div>
<dl><dt><span class="strong">Since:</span></dt>
  <dd>3.0</dd></dl>
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<h3>Constructor Summary</h3>
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<caption><span>Constructors</span><span class="tabEnd">&nbsp;</span></caption>
<tr>
<th class="colOne" scope="col">Constructor and Description</th>
</tr>
<tr class="altColor">
<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html#Line(org.apache.commons.math3.geometry.euclidean.threed.Line)">Line</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Line</a>&nbsp;line)</code>
<div class="block">Copy constructor.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html#Line(org.apache.commons.math3.geometry.euclidean.threed.Vector3D,%20org.apache.commons.math3.geometry.euclidean.threed.Vector3D)">Line</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;p1,
    <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;p2)</code>
<div class="block"><strong>Deprecated.</strong>&nbsp;
<div class="block"><i>as of 3.3, replaced with <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html#Line(org.apache.commons.math3.geometry.euclidean.threed.Vector3D,%20org.apache.commons.math3.geometry.euclidean.threed.Vector3D,%20double)"><code>Line(Vector3D, Vector3D, double)</code></a></i></div>
</div>
</td>
</tr>
<tr class="altColor">
<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html#Line(org.apache.commons.math3.geometry.euclidean.threed.Vector3D,%20org.apache.commons.math3.geometry.euclidean.threed.Vector3D,%20double)">Line</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;p1,
    <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;p2,
    double&nbsp;tolerance)</code>
<div class="block">Build a line from two points.</div>
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<caption><span>Methods</span><span class="tabEnd">&nbsp;</span></caption>
<tr>
<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colLast" scope="col">Method and Description</th>
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<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html#closestPoint(org.apache.commons.math3.geometry.euclidean.threed.Line)">closestPoint</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Line</a>&nbsp;line)</code>
<div class="block">Compute the point of the instance closest to another line.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>boolean</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html#contains(org.apache.commons.math3.geometry.euclidean.threed.Vector3D)">contains</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;p)</code>
<div class="block">Check if the instance contains a point.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html#distance(org.apache.commons.math3.geometry.euclidean.threed.Line)">distance</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Line</a>&nbsp;line)</code>
<div class="block">Compute the shortest distance between the instance and another line.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html#distance(org.apache.commons.math3.geometry.euclidean.threed.Vector3D)">distance</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;p)</code>
<div class="block">Compute the distance between the instance and a point.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html#getAbscissa(org.apache.commons.math3.geometry.euclidean.threed.Vector3D)">getAbscissa</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;point)</code>
<div class="block">Get the abscissa of a point with respect to the line.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html#getDirection()">getDirection</a></strong>()</code>
<div class="block">Get the normalized direction vector.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html#getOrigin()">getOrigin</a></strong>()</code>
<div class="block">Get the line point closest to the origin.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html#getTolerance()">getTolerance</a></strong>()</code>
<div class="block">Get the tolerance below which points are considered identical.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html#intersection(org.apache.commons.math3.geometry.euclidean.threed.Line)">intersection</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Line</a>&nbsp;line)</code>
<div class="block">Get the intersection point of the instance and another line.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>boolean</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html#isSimilarTo(org.apache.commons.math3.geometry.euclidean.threed.Line)">isSimilarTo</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Line</a>&nbsp;line)</code>
<div class="block">Check if the instance is similar to another line.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html#pointAt(double)">pointAt</a></strong>(double&nbsp;abscissa)</code>
<div class="block">Get one point from the line.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>void</code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html#reset(org.apache.commons.math3.geometry.euclidean.threed.Vector3D,%20org.apache.commons.math3.geometry.euclidean.threed.Vector3D)">reset</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;p1,
     <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;p2)</code>
<div class="block">Reset the instance as if built from two points.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Line</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html#revert()">revert</a></strong>()</code>
<div class="block">Get a line with reversed direction.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html#toSpace(org.apache.commons.math3.geometry.Point)">toSpace</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;&nbsp;point)</code>
<div class="block">Transform a sub-space point into a space point.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html#toSpace(org.apache.commons.math3.geometry.Vector)">toSpace</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;&nbsp;vector)</code>
<div class="block">Transform a sub-space point into a space point.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html#toSubSpace(org.apache.commons.math3.geometry.Point)">toSubSpace</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;&nbsp;point)</code>
<div class="block">Transform a space point into a sub-space point.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html#toSubSpace(org.apache.commons.math3.geometry.Vector)">toSubSpace</a></strong>(<a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;&nbsp;vector)</code>
<div class="block">Transform a space point into a sub-space point.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/SubLine.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">SubLine</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html#wholeLine()">wholeLine</a></strong>()</code>
<div class="block">Build a sub-line covering the whole line.</div>
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<h3>Methods inherited from class&nbsp;java.lang.<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></h3>
<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long,%20int)" title="class or interface in java.lang">wait</a></code></li>
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<h3>Constructor Detail</h3>
<a name="Line(org.apache.commons.math3.geometry.euclidean.threed.Vector3D, org.apache.commons.math3.geometry.euclidean.threed.Vector3D, double)">
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<h4>Line</h4>
<pre>public&nbsp;Line(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;p1,
    <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;p2,
    double&nbsp;tolerance)
     throws <a href="../../../../../../../org/apache/commons/math3/exception/MathIllegalArgumentException.html" title="class in org.apache.commons.math3.exception">MathIllegalArgumentException</a></pre>
<div class="block">Build a line from two points.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>p1</code> - first point belonging to the line (this can be any point)</dd><dd><code>p2</code> - second point belonging to the line (this can be any point, different from p1)</dd><dd><code>tolerance</code> - tolerance below which points are considered identical</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/exception/MathIllegalArgumentException.html" title="class in org.apache.commons.math3.exception">MathIllegalArgumentException</a></code> - if the points are equal</dd><dt><span class="strong">Since:</span></dt>
  <dd>3.3</dd></dl>
</li>
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<h4>Line</h4>
<pre>public&nbsp;Line(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Line</a>&nbsp;line)</pre>
<div class="block">Copy constructor.
 <p>The created instance is completely independent from the
 original instance, it is a deep copy.</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>line</code> - line to copy</dd></dl>
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<h4>Line</h4>
<pre><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Deprecated.html?is-external=true" title="class or interface in java.lang">@Deprecated</a>
public&nbsp;Line(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;p1,
               <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;p2)
     throws <a href="../../../../../../../org/apache/commons/math3/exception/MathIllegalArgumentException.html" title="class in org.apache.commons.math3.exception">MathIllegalArgumentException</a></pre>
<div class="block"><span class="strong">Deprecated.</span>&nbsp;<i>as of 3.3, replaced with <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html#Line(org.apache.commons.math3.geometry.euclidean.threed.Vector3D,%20org.apache.commons.math3.geometry.euclidean.threed.Vector3D,%20double)"><code>Line(Vector3D, Vector3D, double)</code></a></i></div>
<div class="block">Build a line from two points.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>p1</code> - first point belonging to the line (this can be any point)</dd><dd><code>p2</code> - second point belonging to the line (this can be any point, different from p1)</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/exception/MathIllegalArgumentException.html" title="class in org.apache.commons.math3.exception">MathIllegalArgumentException</a></code> - if the points are equal</dd></dl>
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<h4>reset</h4>
<pre>public&nbsp;void&nbsp;reset(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;p1,
         <a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;p2)
           throws <a href="../../../../../../../org/apache/commons/math3/exception/MathIllegalArgumentException.html" title="class in org.apache.commons.math3.exception">MathIllegalArgumentException</a></pre>
<div class="block">Reset the instance as if built from two points.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>p1</code> - first point belonging to the line (this can be any point)</dd><dd><code>p2</code> - second point belonging to the line (this can be any point, different from p1)</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/exception/MathIllegalArgumentException.html" title="class in org.apache.commons.math3.exception">MathIllegalArgumentException</a></code> - if the points are equal</dd></dl>
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<h4>getTolerance</h4>
<pre>public&nbsp;double&nbsp;getTolerance()</pre>
<div class="block">Get the tolerance below which points are considered identical.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>tolerance below which points are considered identical</dd><dt><span class="strong">Since:</span></dt>
  <dd>3.3</dd></dl>
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<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Line</a>&nbsp;revert()</pre>
<div class="block">Get a line with reversed direction.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>a new instance, with reversed direction</dd></dl>
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<h4>getDirection</h4>
<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;getDirection()</pre>
<div class="block">Get the normalized direction vector.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>normalized direction vector</dd></dl>
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<h4>getOrigin</h4>
<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;getOrigin()</pre>
<div class="block">Get the line point closest to the origin.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>line point closest to the origin</dd></dl>
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<h4>getAbscissa</h4>
<pre>public&nbsp;double&nbsp;getAbscissa(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;point)</pre>
<div class="block">Get the abscissa of a point with respect to the line.
 <p>The abscissa is 0 if the projection of the point and the
 projection of the frame origin on the line are the same
 point.</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>point</code> - point to check</dd>
<dt><span class="strong">Returns:</span></dt><dd>abscissa of the point</dd></dl>
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<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;pointAt(double&nbsp;abscissa)</pre>
<div class="block">Get one point from the line.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>abscissa</code> - desired abscissa for the point</dd>
<dt><span class="strong">Returns:</span></dt><dd>one point belonging to the line, at specified abscissa</dd></dl>
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<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;toSubSpace(<a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;&nbsp;vector)</pre>
<div class="block">Transform a space point into a sub-space point.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>vector</code> - n-dimension point of the space</dd>
<dt><span class="strong">Returns:</span></dt><dd>(n-1)-dimension point of the sub-space corresponding to
 the specified space point</dd></dl>
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<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;toSpace(<a href="../../../../../../../org/apache/commons/math3/geometry/Vector.html" title="interface in org.apache.commons.math3.geometry">Vector</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;&nbsp;vector)</pre>
<div class="block">Transform a sub-space point into a space point.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>vector</code> - (n-1)-dimension point of the sub-space</dd>
<dt><span class="strong">Returns:</span></dt><dd>n-dimension point of the space corresponding to the
 specified sub-space point</dd></dl>
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<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Vector1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Vector1D</a>&nbsp;toSubSpace(<a href="../../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>&gt;&nbsp;point)</pre>
<div class="block">Transform a space point into a sub-space point.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html#toSubSpace(org.apache.commons.math3.geometry.Point)">toSubSpace</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html" title="interface in org.apache.commons.math3.geometry.partitioning">Embedding</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>,<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>point</code> - n-dimension point of the space</dd>
<dt><span class="strong">Returns:</span></dt><dd>(n-1)-dimension point of the sub-space corresponding to
 the specified space point</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html#getAbscissa(org.apache.commons.math3.geometry.euclidean.threed.Vector3D)"><code>getAbscissa(Vector3D)</code></a></dd></dl>
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<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;toSpace(<a href="../../../../../../../org/apache/commons/math3/geometry/Point.html" title="interface in org.apache.commons.math3.geometry">Point</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;&nbsp;point)</pre>
<div class="block">Transform a sub-space point into a space point.</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html#toSpace(org.apache.commons.math3.geometry.Point)">toSpace</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/commons/math3/geometry/partitioning/Embedding.html" title="interface in org.apache.commons.math3.geometry.partitioning">Embedding</a>&lt;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Euclidean3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Euclidean3D</a>,<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/oned/Euclidean1D.html" title="class in org.apache.commons.math3.geometry.euclidean.oned">Euclidean1D</a>&gt;</code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>point</code> - (n-1)-dimension point of the sub-space</dd>
<dt><span class="strong">Returns:</span></dt><dd>n-dimension point of the space corresponding to the
 specified sub-space point</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html#pointAt(double)"><code>pointAt(double)</code></a></dd></dl>
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<pre>public&nbsp;boolean&nbsp;isSimilarTo(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Line</a>&nbsp;line)</pre>
<div class="block">Check if the instance is similar to another line.
 <p>Lines are considered similar if they contain the same
 points. This does not mean they are equal since they can have
 opposite directions.</p></div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>line</code> - line to which instance should be compared</dd>
<dt><span class="strong">Returns:</span></dt><dd>true if the lines are similar</dd></dl>
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<pre>public&nbsp;boolean&nbsp;contains(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;p)</pre>
<div class="block">Check if the instance contains a point.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>p</code> - point to check</dd>
<dt><span class="strong">Returns:</span></dt><dd>true if p belongs to the line</dd></dl>
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<h4>distance</h4>
<pre>public&nbsp;double&nbsp;distance(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;p)</pre>
<div class="block">Compute the distance between the instance and a point.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>p</code> - to check</dd>
<dt><span class="strong">Returns:</span></dt><dd>distance between the instance and the point</dd></dl>
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<pre>public&nbsp;double&nbsp;distance(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Line</a>&nbsp;line)</pre>
<div class="block">Compute the shortest distance between the instance and another line.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>line</code> - line to check against the instance</dd>
<dt><span class="strong">Returns:</span></dt><dd>shortest distance between the instance and the line</dd></dl>
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<h4>closestPoint</h4>
<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;closestPoint(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Line</a>&nbsp;line)</pre>
<div class="block">Compute the point of the instance closest to another line.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>line</code> - line to check against the instance</dd>
<dt><span class="strong">Returns:</span></dt><dd>point of the instance closest to another line</dd></dl>
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<h4>intersection</h4>
<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Vector3D.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Vector3D</a>&nbsp;intersection(<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/Line.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">Line</a>&nbsp;line)</pre>
<div class="block">Get the intersection point of the instance and another line.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>line</code> - other line</dd>
<dt><span class="strong">Returns:</span></dt><dd>intersection point of the instance and the other line
 or null if there are no intersection points</dd></dl>
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<h4>wholeLine</h4>
<pre>public&nbsp;<a href="../../../../../../../org/apache/commons/math3/geometry/euclidean/threed/SubLine.html" title="class in org.apache.commons.math3.geometry.euclidean.threed">SubLine</a>&nbsp;wholeLine()</pre>
<div class="block">Build a sub-line covering the whole line.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>a sub-line covering the whole line</dd></dl>
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